The merger values each Just Eat share at 916p after Takeaway.com jacked up its original offer price of around 704p per share.
Shareholder approval ends a bidding war between the Dutch firm and Prosus, an investment group backed by South African e-commerce giant Naspers, which had made a final cash offer of 800p per share shortly before Takeaway.com swooped with its knockout blow.
Takeaway.com and Just Eat had originally agreed a deal at the lower price, however, the intervention by Prosus and criticism by some of the FTSE 100 firm’s major shareholders ultimately forced a sweetened offer.
Just Eat’s shareholders will own 57.5% of the newly combined entity though it will be run by the Dutch group’s management.
"I am thrilled that our offer for Just Eat has now formally reached an acceptance level of 80.4%," said Takeaway.com chief executive Jitse Groen.
“I wish to thank everybody involved, but especially the Just Eat staff for their patience, in what must have been an uncertain time.
“Just Eat Takeaway.com is a dream combination and I am very much looking forward to leading the company for many years to come", he said.